解析的

This semi-analytical method is accurate and widely used. It overcomes the limitation of the analytical solution such as conformal mapping. The position of cracks can be arbitrary.

这种解析数值相结合求解应力强度因子的方法，充分利用了解析方法精度高和数值方法适用性广的特点，同时又克服了保角变换等解析解的局限，各裂纹位置可以是任意的。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and the method for Riemann boundary problem, analytic relations between the complex potentials are obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解力法，导出各复势函数之间的解析关系，进一步得到特殊情况下所讨论问题的封闭解，并解出像力随温度梯度和位错位置变化的表达式。

Extended the semi-analytical finite element method into the Dugdale model of elastic-plastic fracture mechanics, the analytical elements based on the Dugdale model of mode Ⅰ and mode Ⅱ crack are constructed. The formulas for the stiffness matrices and load vectors of analytical elements are deduced.

将上面的半解析有限元法应用于弹塑性断裂力学中的Dugdale模型，分别构造了基于Ⅰ型和Ⅱ型Dugdale模型的裂纹解析元，并建立了解析单元的出口刚度阵和荷载向量的列式。

And established the mechanics model,optimization parameter model,optimization mathematics model for the elastic element of the extensometer,programs analysis file and optimization control file by using the ANSYS parameter design language.

解析设计方法：依据弹性元件的受力特点建立其力学模型，运用已成熟的力学理论，如薄板弯曲理论、梁弯曲理论、柱拉压理论、剪切理论等获得弹性体的应力应变的解析值，从而获得目标函数和状态变量的解析值。

The main goal is to use some results and methods from classical analytic-function theory to determine some of the most basic questions you can ask about linear operators and functional space. At the same time using functional space theory and operator theory as a tool to study the classical questions in function theory.

解析复合算子的研究是解析函数论和算子理论结合的产物，其目的是利用经典解析函数论中的方法与结论探讨泛函空间与算子理论中的一些最基本的问题，同时也以泛函空间与算子理论为工具研究函数论中的经典问题。

In this paper,the Riemann boundary value problem for bianalytic vector function s is investigated using the theory of boundary value problem for analytic functions,we have not only found the solution method for bianalytic vector function s,but also established an explicit form of the general solution and the conditions for the solvability of the above problem.

利用解析向量函数边值问题理论，提出了双解析向量函数的R iem ann边值问题，并研究了问题的解法和解的一般表达式及可解性条件，得到了相应的可解性定理，同样方法可解决多解析向量函数的边值问题

Based on an analytical solution of 1-D unsteady flow, a set of analytical solutions of 2-D and 3-D unsteady perfect isentropic gas flow is developed.

根据以前寻找解析解的经验，导出了一套不定常二维、三维完全气体无粘可压流动的解析解，它可能是国际上唯一的二元、三元不定常可压流动的解析解。

Three analytical solutions are given including the wet front analysis solution of double medium soil column,the analytical expression of piezometric tube water head and saturation for steady state and the analysis solution of seepage in unconfined aquifer with a periodic boundary condition.

推导了双介质土柱表层水入渗的下渗锋面解析表达式、稳定状态时测压管水头分布与饱和度分布的解析表达式，并给出了有周期性边界条件的有限潜水层内渗流自由面的解析表达式。

The most favorite parameters for processing Yuxiangrousi are that the thickness of material is 5mm, the pressure of sublimation is 140Pa, the pressure of desorption is 30Pa, the temperature of heating board is 20℃ by orthogonal experiments.

通过正交试验得出真空冷冻干燥鱼香肉丝的最佳工艺：鱼香肉丝厚度5mm、升华干燥时真空度140Pa、解析干燥时真空度30Pa、解析时加热板温度20℃，影响工艺的主要因素次序为加热板温度、厚度、升华压力和解析压力；以及复水量在原含水量Aw的140%～150%、复水温度65～85℃、复水时间20～30min最好；最后建立数学模型验证干燥时间。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失